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12211210020 = 223512711231427
BaseRepresentation
bin10110101111101100…
…00100011100100100
31011112000112202000210
423113312010130210
5200002032210040
65335412335420
7611414400252
oct132766043444
934460482023
1012211210020
1151a6a00909
122449614570
1311c7b45379
1483babb5d2
154b7091480
hex2d7d84724

12211210020 has 96 divisors (see below), whose sum is σ = 34515468288. Its totient is φ = 3225543552.

The previous prime is 12211210009. The next prime is 12211210043. The reversal of 12211210020 is 2001211221.

12211210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112100202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12211209978 and 12211210005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8556547 + ... + 8557973.

It is an arithmetic number, because the mean of its divisors is an integer number (359536128).

Almost surely, 212211210020 is an apocalyptic number.

12211210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257734144).

12211210020 is an abundant number, since it is smaller than the sum of its proper divisors (22304258268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211210020 is a wasteful number, since it uses less digits than its factorization.

12211210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211210020 its reverse (2001211221), we get a palindrome (14212421241).

The spelling of 12211210020 in words is "twelve billion, two hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1123 1270 1427 1524 1905 2246 2540 2854 3369 3810 4281 4492 5615 5708 6738 7135 7620 8562 11230 13476 14270 16845 17124 21405 22460 28540 33690 42810 67380 85620 142621 181229 285242 362458 427863 543687 570484 713105 724916 855726 906145 1087374 1426210 1602521 1711452 1812290 2139315 2174748 2718435 2852420 3205042 3624580 4278630 4807563 5436870 6410084 8012605 8557260 9615126 10873740 16025210 19230252 24037815 32050420 48075630 96151260 203520167 407040334 610560501 814080668 1017600835 1221121002 2035201670 2442242004 3052802505 4070403340 6105605010 12211210020